102543101345201 has 32 divisors (see below), whose sum is σ = 121106431570176. Its totient is φ = 86501673350400.

The previous prime is 102543101345131. The next prime is 102543101345213.

102543101345201 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 102543101345201 - 2¹⁴ = 102543101328817 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102543101305201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30308210 + ... + 33521243.

It is an arithmetic number, because the mean of its divisors is an integer number (3784575986568).

Almost surely, 2^{102543101345201} is an apocalyptic number.

102543101345201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102543101345201 is a deficient number, since it is larger than the sum of its proper divisors (18563330224975).

102543101345201 is an equidigital number, since it uses as much as digits as its factorization.

102543101345201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63829574 (or 63829552 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

It can be divided in two parts, 10254310 and 1345201, that added together give a palindrome (11599511).

The spelling of 102543101345201 in words is "one hundred two trillion, five hundred forty-three billion, one hundred one million, three hundred forty-five thousand, two hundred one".